Write the point-slope form of the line that passes through (-8, 2) and is parallel to a line with a slope of -8. include all of your work in your final answer. type your answer in the box provided or use the upload option to submit your solution.

Parallel lines have the same slope, so since you want a line that is parallel to a line with slope -8, your line will also have slope -8.

The slope-intercept form of the equation of a line is

y = mx + b

where m is the slope, and b is the y-intercept.

You already know you have a slope of -8, so m = -8, and you have

y = -8x + b

Now you need to find the value of b.

Use the point you know and substitute it in for x and y, and solve for b.

y = -8x + b

Use x = -8, and y = 2.

2 = -8(-8) + b

2 = 64 + b

-62 = b

b = -62

Now replace b with -62.

y = -8x + b

y = -8x - 62